The Following Data Are Believed to Have Come from a Normal

question 86

Essay

The following data are believed to have come from a normal probability distribution.
$$\begin{array} { l l l l l l l l l } 26 & 21 & 25 & 20 & 21 & 29 & 26 & 23 & 22&24 \\24 & 30 & 23 & 32 & 26 & 24 & 32 & 16 & 36&26 \\21 & 31 & 26 & 23 & 32 & 35 & 40 & 30 & 14&26 \\46 & 27 & 33 & 25 & 27 & 21 & 26 & 18 & 29&36\end{array}$$ The mean of this sample equals 26.80,and the standard deviation equals 6.378.Use the goodness-of-fit test at the 5% significance level to test whether the data indeed come from a normal distribution.

---

Definitions:

Identity

The qualities, beliefs, personality traits, appearance, and/or expressions that make a person (self-identity) or group (particular social category or social group).

Excited About Future

Feeling of enthusiasm or eagerness for what is to come or what may happen.

Harsh Verbal Discipline

The use of aggressive or demeaning language by a parent or caretaker towards a child, which can negatively affect the child’s self-esteem and behavior.

Early Childhood

The period of a child's life from birth to the age of eight, focusing on holistic development including physical, cognitive, and social-emotional growth.